(a) Find wo1 and Q1 for the first second-order section with transfer function 1.4587 × 107 H,(s) : s2 %3D + 4868.2138s + 1.4587 × 107 (b) Find the normalized component values for the first second-order section with transfer function H1(s).

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1. The transfer function of the fourth order lowpass filter is given by
1.4587 х 107
5.1506 x 107
H(s) =
s2 + 4868.2138s + 1.4587 × 107s² + 2016.4802s + 5.1506 × 107
Design this filter by cascading two Sallen-Key second-order lowpass filters using the equal R,
equal C method. The Sallen-Key second-order lowpass filter is shown below. Ra and Rp are
chosen to have a gain of 1 at w = 0. km = 1000.
%3D
C1
Ra
R2
U1
OUT
Vin
Vo
Rb
C2
ОРАМP
RA
RB
(a) Find wo1 and Q1 for the first second-order section with transfer function
1.4587 x 107
H,(s) =
s2 + 4868.2138s + 1.4587 × 107
(b) Find the normalized component values for the first second-order section with transfer
function H1(s).
Transcribed Image Text:1. The transfer function of the fourth order lowpass filter is given by 1.4587 х 107 5.1506 x 107 H(s) = s2 + 4868.2138s + 1.4587 × 107s² + 2016.4802s + 5.1506 × 107 Design this filter by cascading two Sallen-Key second-order lowpass filters using the equal R, equal C method. The Sallen-Key second-order lowpass filter is shown below. Ra and Rp are chosen to have a gain of 1 at w = 0. km = 1000. %3D C1 Ra R2 U1 OUT Vin Vo Rb C2 ОРАМP RA RB (a) Find wo1 and Q1 for the first second-order section with transfer function 1.4587 x 107 H,(s) = s2 + 4868.2138s + 1.4587 × 107 (b) Find the normalized component values for the first second-order section with transfer function H1(s).
(c) Find the scaled (both magnitude and frequency) component values for the first second-order
section with transfer function H,(s).
(d) Find wo2 and Q2 for the second second-order section with transfer function
5.1506 x 107
H2 (s) :
s2 + 2016.4802s + 5.1506 × 107
(e) Find the normalized component values for the second second-order section with transfer
function H2(s).
(f) Find the scaled (both magnitude and frequency) component values for the second second-
order section with transfer function H2(s).
Transcribed Image Text:(c) Find the scaled (both magnitude and frequency) component values for the first second-order section with transfer function H,(s). (d) Find wo2 and Q2 for the second second-order section with transfer function 5.1506 x 107 H2 (s) : s2 + 2016.4802s + 5.1506 × 107 (e) Find the normalized component values for the second second-order section with transfer function H2(s). (f) Find the scaled (both magnitude and frequency) component values for the second second- order section with transfer function H2(s).
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